Find the principal solutions of the following trigonometric equations.

Find the principal solutions of the following equations. (i) $cos x=frac{1}{2}$ (ii) $sin x=frac{sqrt{3}}{2}$ (iii) $sec x=frac{2}{sqrt{3}}$ (iv) $operatorname{cosec} x=2$ (v) $cot x=sqrt{3}$ (vi) $tan x=sqrt{3}$ sol Similar as Sample Question 1 of Concept $1 .$ Answer :  (i) $x=frac{pi}{3}$ and $x=frac{5 pi}{3}$ (ii) $x=frac{pi}{3}$ and $x=frac{2 pi}{3}$ (iii) $x=frac{pi}{6}$ and $x=frac{11 pi}{6}$ (iv) $x=frac{pi}{6}$ … Read more